Securely Implementable Social Choice Functions in Divisible and Non-Excludable Public Good Economies with Quasi-Linear Utility Functions

This paper studies the possibility of secure implementation (Saijo, T., T. Sjöström, and T. Yamato (2007) "Secure Implementation," Theoretical Economics 2, pp. 203-229) in divisible and non-excludable public good economies with quasi-linear utility functions. Although Saijo, Sjöström, and Yamato (2007) showed that the Groves mechanisms (Groves, T. (1973) "Incentives in Teams," Econometrica 41, pp. 617-631) are securely implementable in some of the economies, we have the following negative result: securely implementable social choice functions are dictatorial or constant in the economies